Does the deduction theorem fail for modal logic?
β Scribed by Raul Hakli, Sara Negri
- Book ID
- 115511170
- Publisher
- Springer Netherlands
- Year
- 2011
- Tongue
- English
- Weight
- 235 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0039-7857
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The standard deduction theorem or introduction rule for implication, for classical logic is also valid/or intuitiouistic logic, but just as with predicate logic, other rules of inference have to be restricted if the theorem is ~o ho14 for weaker impli. cational logics. In this paper we look in 4eta
We propose a new schema for the deduction theorem and prove that the deductive system S of a propositional logic L fulfills the proposed schema if and only if there exists a finite set A(p, q) of propositional formulae involving only propositional letters p and q such that A(p, p) C\_ L and p, A(p,